• DocumentCode
    2385909
  • Title

    Nonembeddability theorems via Fourier analysis

  • Author

    Khot, Subhash ; Naor, Assaf

  • Author_Institution
    Coll. of Comput., Georgia Inst. of Technol., Atlanta, GA, USA
  • fYear
    2005
  • fDate
    23-25 Oct. 2005
  • Firstpage
    101
  • Lastpage
    110
  • Abstract
    Various new nonembeddability results (mainly into L1) are proved via Fourier analysis. In particular, it is shown that the edit distance on {0, 1}d has L1 distortion (log d)12 - o(1)/. We also give new lower bounds on the L1 distortion of quotients of the discrete hypercube under group actions, and the transportation cost (Earthmover) metric.
  • Keywords
    Fourier analysis; computational complexity; Earthmover metric; Fourier analysis; edit distance; nonembeddability theorem; transportation cost metric; Approximation algorithms; Computational geometry; Computer science; Costs; Educational institutions; Extraterrestrial measurements; Harmonic analysis; Hypercubes; Surges; Transportation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Foundations of Computer Science, 2005. FOCS 2005. 46th Annual IEEE Symposium on
  • Print_ISBN
    0-7695-2468-0
  • Type

    conf

  • DOI
    10.1109/SFCS.2005.54
  • Filename
    1530705
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2385909